18 videos in "Quadratic Functions"

[C.9] Find Zero of a Function

[C.10] Maximum or Minimum

Solving Equations

Quadratic Functions

Evaluating a Quadratic Function

Characteristics of a Quadratic Equation

Evaluating Quadratic Functions

Finding Roots of Cubic Function

Determining the Difference Quotient

Simplifying the Difference Quotient

Zeroes of a Quartic Polynomial

Vertex and Zeroes of a Quadratic Function

Writing Standard Form of a Quadratic Equation

Writing a Quadratic Equation form a Vertex and Point

Zeros and Multiplicity of a Polynomial with Fractions

Simplifying the Difference Quotient of a Quadratic Function

Simplifying the Difference Quotient

Evaluate a Quadratic Function
Quadratic Functions
Quadratic Functions
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Part of video series NonLinear Relationships / Functions / Models
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Be familiar with and recognize the algebraic form for a quadratic model, including the corresponding parameters and if those parameters have any meaning in the context of the functional relationship (e.g. does a parameter control the initial value, rate of change (shape), decreasing or increasing (flip), max/min, limiting values, etc.).
 Notes  Notes from this lesson.
 What is a quadratic model?
 What is a nonlinear model?
 What happens in a model if you do not have a constant rate of change?
 What is standard form for a quadratic function?
 What is vertex form for a quadratic function?
 What are the parameters of a quadratic model?
 How do you find the initial value of a quadratic function?
 What is the linear parameter and what is the quadratic parameter in a quadratic model?
 How can you tell whether a quadratic function opens up or down from the function?
 How do you find the values of parameters in a quadratic model?
 How can you write a quadratic function given two points (2, 10) and (3, 8) and an initial value of 0?
 How can you use a TI graphing calculator to model a quadratic function by doing a quadratic regression?
 How many points do you need to specify a quadratic function?
This lesson introduces nonlinear functions using a quadratic model. The parameters of a function are explained and then discovered for quadratic functions. You can be given several different pieces of information and be expected to find unknown parameters. This is a very good quadratic model tutorial. A TI graphing calculator is also used in this lesson.